Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970cd |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
873140708348685000 = 23 · 313 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15967607,-24554807161] |
[a1,a2,a3,a4,a6] |
Generators |
[578705:3098396:125] |
Generators of the group modulo torsion |
j |
617611911727813844500009/1197723879765000 |
j-invariant |
L |
6.9871050901316 |
L(r)(E,1)/r! |
Ω |
0.075524811250026 |
Real period |
R |
7.7095029815221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ff4 3990l4 59850cl4 83790dx4 |
Quadratic twists by: -4 -3 5 -7 |